Answers
Answer: f-1(x) = x/5 - 10
Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10
Steps:
The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.
[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]
So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]
Related Questions
pls help 20 points if u answer
Answers
The sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation
Answers
Answer:
3x = 33 in
Step-by-step explanation:
Quis
if
A= 3
B= 4
C= 2
so
A x B - C
is
Answers
Answer:
if
A= 3
B= 4
C= 2
so
A x B - C
iis
3 x 4 - 2
=12 - 2
=10 ✓
Answer:
if
A= 3
B= 4
C= 2
so
A x B - C
iis
3 x 4 - 2
=12 - 2
=10 ✓
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?
Answers
Answer:35N
Step-by-step explanation:
Cross multiply and divide to find the missing value
plz tell the solution for this Q
Answers
Answer:
rational
Step-by-step explanation:
a is the answer
ANYBODY WHO ANSWERS THIS QUESTION CORRECTLY WILL GET 40 POINTS. THE ONES IN GREY ARE THE ANSWER OPTIONS.
Answers
Answer:
140 students are in the school
Step-by-step explanation:
According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140
So there were 140 students in the school.
Answer:
70*2 = 140
Step-by-step explanation:
if half is 70, then 100% is 70*2 = 140
Johanna's monthly salary was increased by 4% to $27,560. What was the salary before the increase?
Answers
Answer:
$15,500
Step-by-step explanation: Trust
Ben has 69 planks that are of standard size. He would need 5 such planks to make a bookshelf. Find the maximum number of bookshelves Ben can make.
Answers
Answer:
13
Step-by-step explanation:
69/5=13 remainder 4
u cant make a bookshelf with 4 planks
Answer:
13
Step-by-step explanation:
69 total planks divided by 5 for each bookshelf.
That would be 69÷5=13.8
Seeing as you can't make .8 of a shelf, those planks would just be extra.
nadia typically types 32 words per minute, but her rate may vary by as much as 5 words per minute. let x be the actual rate at which nadia types. what is the range of rates, in words per minute , that nadia could type
Answers
The range of rate at which Nadia could type is given by the inequality equation 27 ≤ x ≤ 37 where x is the number of words per minute
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the total number of words typed per minute be = x
Now , the value of x is calculated by
The number of words Nadia can type = 32 words
The rate of change of words per minute = 5 words
So , Nadia can type 5 words slower or faster
So , the value of x ranges from ( 32 - 5 ) and ( 32 + 5 )
So , the value of x ranges from 27 words per minute to 37 words per minute
The inequality equation is given by
27 ≤ x ≤ 37 , where x is the number of words typed by Nadia per minute
Therefore , the inequality equation is 27 ≤ x ≤ 37
Hence , the range of the inequality equation is 27 ≤ x ≤ 37
To learn more about inequality equations click :
https://brainly.com/question/11897796
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A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?
Answers
Answer:
50
Step-by-step explanation:
5 pages * 10 copies = 50 pages
A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?
Answers
Answer:
3/4
Step-by-step explanation:
green takes up 1/4 so the rest that arnt green is the answer
A plant grows 3/8 inch every month. How many inches
does the plant grow in 10 months?
© ?
0 10
Answers
Answer:
B. 3 3/4
Step-by-step explanation:
3/8 * 10 = 30/8
30/8 = 3 3/4
The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?
A. 12
B. 21
C. 9
D. 3
E. 15
Answers
D.
Explanationbecause the number have 3
Step-by-step explanation:
A+B+C = 30
A = 4C
B = A+3
=> 4C+4C+3+C = 30
9C + 3 = 30
9C = 30-3
9C = 27
C = 3
Therefore, the age of Cindy is 3 years old
(option D)
what is the sum of x + y when x = -4/5 and y = 1/3
Answers
Answer:
-7/15
Step-by-step explanation:
To get the sum of two fractions, you need to make their denominators the same, ideally the least common denominator, or LCD.
So, first off, substitute x + y with the values of the variables to get -4/5 + 1/3. Next, find the LCD of the fractions. In this case, the denominators are both prime, so the LCD is the product of the denominators. Because 3 * 5 = 15), both denominators should end up being 15. Next, multiply both parts of both fractions by the number needed to get to that LCD. In this case, you're multiplying -4/5 by 3 on the top and bottom, and 1/3 by 5 on the top and bottom. This should get you an expression of -12/15 + 5/15. Next, add away! (-12 + 5)/15 = -7/15, and you're done!
how would you compare the sizes of two balls
Answers
Answer:
You could compare the mass of each ball and volume, You could also find the height of each ball or diamiter. I really hope this isnt satire.
WHAT IS 2+2 GUYS!11!! MY MOM IS MAD AT ME SHE SAY SHE GONNA get belt
Answers
Answer:
ITS 4!!!!!
Step-by-step explanation:
2+2=4
4=4
solve the matrix equation
Answers
Answer:
c
Step-by-step explanation:
16% of 95 is what number?
Please answer this fast I'll mark you as brainliest. Thank You.
Answers
Answer:
16% of 95 is 15.2
Step-by-step explanation:
0.16×95= 15.2
Trust me bro I got you
Pleasee help me this stuff hard
Answers
Answer:
3x-8=2x+8
1x-8=8
1x=16
x=16
your answer is x=16.
The radius of the base of the cone is 5 cm.
The total surface area of the cone is 90 pie cm^2
Work out the volume of the cone.
Give your answer in pie
Answers
4/2 3.14
or something
Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder
Answers
Answer:
c. tetrahedron
Step-by-step explanation:
which of the binomials below is a factor of this trinomial?
x² + 2x - 35
Answers
Answer:
(x-5)(x+7)
Step-by-step explanation:
They're the factors of the trinomial x^2+2x-35
Help with answer 10 please!!!
Answers
Answer:
b, d, e, f
Step-by-step explanation:
if there is direct variation then one variable equals the other by a constant
for example, y = 2x would indicate that every 'x' value is twice the 'y' value
therefore:
the line must be straight
pass through the point of origin
each point represents the same ratio
points are connected to form a straight line
answer the equation please <33
Answers
Answer: Total cost = 4m
Step-by-step explanation:
Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m
Answer:
dₙ = (m-1)*4
Step-by-step explanation:
d1: initial dollar d1=0
dₙ = (m-1)*4
d₁ = (1-1)*4 = 0
d₂ = (2-1)*4 = 4
d₃ = (3-1)*4 = 8
can anyone help me please I need the answer to this fast
Answers
Answer:
y = 4/7x - 22/7Step-by-step explanation:
Take 2 points:
(-5, -6) and (2, -2)Find the slope:
m = (- 2 + 6)/(2 + 5) = 4/7Find the y- intercept:
-6 = 4/7(-5) + b-6 = - 20/7 + bb = - 6 + 20/7b = - 22/7The line is:
y = 4/7x - 22/7i need help with this
Answers
(5r + 5) + (8r -6) = 90°
13r - 1 = 90
13r - 1 + 1 = 90 + 1
13r = 91
13r/13 = 91/13
r = 7
Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
Answers
Applying the general Ohm's Law, it is found that:
a) The impedance is of 8 + 4i ohms.
b) The current is of 17.6 + 8.8i amperes.
c) The impedance is of -11i ohms.
Ohm's Law states that voltage is current multiplied by impedance, that is:
[tex]V = IZ[/tex]
Standard voltage of 220 volts, thus [tex]V = 220[/tex].
Item a:
Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = (22 - 11i)Z[/tex]
[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]
Considering [tex]i^2 = -1[/tex]
[tex]Z = \frac{220(22 + 11i)}{605}[/tex]
[tex]Z = 0.3636(22 + 11i)[/tex]
[tex]Z = 8 + 4i[/tex]
The impedance is of 8 + 4i ohms.
Item b:
Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then
[tex]V = IZ[/tex]
[tex]220 = (10 - 5i)I[/tex]
[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]
[tex]I = \frac{220(10 + 5i)}{125}[/tex]
[tex]I = 1.76(10 + 5i)[/tex]
[tex]I = 17.6 + 8.8i[/tex]
The current is of 17.6 + 8.8i amperes.
Item c:
Current is 20i amps, thus [tex]I = 20i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = 20iZ[/tex]
[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]
[tex]Z = -\frac{220 \times 20i}{400}[/tex]
[tex]Z = -11i[/tex]
The impedance is of -11i ohms.
A similar problem is given at https://brainly.com/question/16850726
Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20
Answers
Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8
The smaller triangle can be expressed as :
Side / base = 6/x ----(1)The larger triangle can be expressed as :
Side / base Side = 6+9 = 15 15/20 - - - - - (2)Equating (1) and (2) :
6/x = 15 / 20
15x = 20 × 6
15x = 120
x = 120 / 15
x = 8
Therefore, the value of x in the triangle is 8.
Learn more : https://brainly.com/question/25326255
PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.
Answers
Answer:
No
Step-by-step explanation:
A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°Please help I really need help.
